ON THE DENSITY OF ABUNDANT NUMBERS
A Thesis
Submitted to the Faculty
in partial ful¯llment of the requirements for the
degree of
Doctor of Philosophy
in
Mathematics
by
Mitsuo Kobayashi
DARTMOUTH COLLEGE
Hanover, New Hampshire
September 1, 2010
Examining Committee:
Carl B. Pomerance, Chair
Dorothy Wallace
Florian Luca
Andrew Yang
Brian W. Pogue, Ph.D.
Dean of Graduate Studies